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Finding the Fourth Proportional to 257,715.81, 386,672.13 and 145,522.71

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Solution

The fourth proportional to 257,715.81, 386,672.13 and 145,522.71 is: 218,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,715.81 : 386,672.13 = 145,522.71 : x
  2. Step 2: Convert to fraction form
    257,715.81/386,672.13 = 145,522.71/x
  3. Step 3: Cross multiply
    257,715.81x = 386,672.13 × 145,522.71
  4. Step 4: Simplify right side
    257,715.81x = 56,269,576,239.07
  5. Step 5: Solve for x
    x = 56,269,576,239.07/257,715.81
  6. Step 6: Final answer
    x = 218,339.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.